Kermanshah University of Technology

Research

Title	New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method
Type	Article
Keywords	Caputo fractional derivative, conformable derivative, double Laplace transform, nonlinear fractional Schrödinger equation
Researchers	Mohammed K. A. Kaabar، Francisco Martínez، j.f. Gómez-Aguilar، Behzad Ghanbari، Melike Kaplan، Hatira Günerhan

Abstract

In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled with Adomian decomposition method has been defined and applied to solve the newly formulated nonlinear Schrödinger equation with spatiotemporal dispersion. The approximate analytical solutions are obtained and compared with each other graphically.

Behzad Ghanbari

Research

Abstract